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Finding the Fourth Proportional to 6,347.13, 9,522.64 and 2,840.09

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Solution

The fourth proportional to 6,347.13, 9,522.64 and 2,840.09 is: 4,261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.13 : 9,522.64 = 2,840.09 : x
  2. Step 2: Convert to fraction form
    6,347.13/9,522.64 = 2,840.09/x
  3. Step 3: Cross multiply
    6,347.13x = 9,522.64 × 2,840.09
  4. Step 4: Simplify right side
    6,347.13x = 27,045,094.60
  5. Step 5: Solve for x
    x = 27,045,094.60/6,347.13
  6. Step 6: Final answer
    x = 4,261.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.